Formal Languages Automata And Numeration Systems 1

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Formal Languages, Automata and Numeration Systems 1

Author : Michel Rigo
Publisher : John Wiley & Sons
ISBN 13 : 1119008220
Total Pages : 330 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Formal Languages, Automata and Numeration Systems 1 by : Michel Rigo

Download or read book Formal Languages, Automata and Numeration Systems 1 written by Michel Rigo and published by John Wiley & Sons. This book was released on 2014-09-10 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal Languages, Automaton and Numeration Systems presents readers with a review of research related to formal language theory, combinatorics on words or numeration systems, such as Words, DLT (Developments in Language Theory), ICALP, MFCS (Mathematical Foundation of Computer Science), Mons Theoretical Computer Science Days, Numeration, CANT (Combinatorics, Automata and Number Theory). Combinatorics on words deals with problems that can be stated in a non-commutative monoid, such as subword complexity of finite or infinite words, construction and properties of infinite words, unavoidable regularities or patterns. When considering some numeration systems, any integer can be represented as a finite word over an alphabet of digits. This simple observation leads to the study of the relationship between the arithmetical properties of the integers and the syntactical properties of the corresponding representations. One of the most profound results in this direction is given by the celebrated theorem by Cobham. Surprisingly, a recent extension of this result to complex numbers led to the famous Four Exponentials Conjecture. This is just one example of the fruitful relationship between formal language theory (including the theory of automata) and number theory.

Formal Languages, Automata and Numeration Systems 1

Author : Michel Rigo
Publisher : Wiley-ISTE
ISBN 13 : 9781848216150
Total Pages : 0 pages
Book Rating : 4.2/5 (161 download)

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Book Synopsis Formal Languages, Automata and Numeration Systems 1 by : Michel Rigo

Download or read book Formal Languages, Automata and Numeration Systems 1 written by Michel Rigo and published by Wiley-ISTE. This book was released on 2014-11-17 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal Languages, Automaton and Numeration Systems presents readers with a review of research related to formal language theory, combinatorics on words or numeration systems, such as Words, DLT (Developments in Language Theory), ICALP, MFCS (Mathematical Foundation of Computer Science), Mons Theoretical Computer Science Days, Numeration, CANT (Combinatorics, Automata and Number Theory). Combinatorics on words deals with problems that can be stated in a non-commutative monoid, such as subword complexity of finite or infinite words, construction and properties of infinite words, unavoidable regularities or patterns. When considering some numeration systems, any integer can be represented as a finite word over an alphabet of digits. This simple observation leads to the study of the relationship between the arithmetical properties of the integers and the syntactical properties of the corresponding representations. One of the most profound results in this direction is given by the celebrated theorem by Cobham. Surprisingly, a recent extension of this result to complex numbers led to the famous Four Exponentials Conjecture. This is just one example of the fruitful relationship between formal language theory (including the theory of automata) and number theory.

Formal Languages, Automata and Numeration Systems 1

Author : Michel Rigo
Publisher : John Wiley & Sons
ISBN 13 : 1848216157
Total Pages : 330 pages
Book Rating : 4.8/5 (482 download)

DOWNLOAD NOW!

Book Synopsis Formal Languages, Automata and Numeration Systems 1 by : Michel Rigo

Download or read book Formal Languages, Automata and Numeration Systems 1 written by Michel Rigo and published by John Wiley & Sons. This book was released on 2014-11-17 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal Languages, Automaton and Numeration Systems presents readers with a review of research related to formal language theory, combinatorics on words or numeration systems, such as Words, DLT (Developments in Language Theory), ICALP, MFCS (Mathematical Foundation of Computer Science), Mons Theoretical Computer Science Days, Numeration, CANT (Combinatorics, Automata and Number Theory). Combinatorics on words deals with problems that can be stated in a non-commutative monoid, such as subword complexity of finite or infinite words, construction and properties of infinite words, unavoidable regularities or patterns. When considering some numeration systems, any integer can be represented as a finite word over an alphabet of digits. This simple observation leads to the study of the relationship between the arithmetical properties of the integers and the syntactical properties of the corresponding representations. One of the most profound results in this direction is given by the celebrated theorem by Cobham. Surprisingly, a recent extension of this result to complex numbers led to the famous Four Exponentials Conjecture. This is just one example of the fruitful relationship between formal language theory (including the theory of automata) and number theory.

Formal Languages, Automata and Numeration Systems 2

Author : Michel Rigo
Publisher : John Wiley & Sons
ISBN 13 : 1119042860
Total Pages : 246 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Formal Languages, Automata and Numeration Systems 2 by : Michel Rigo

Download or read book Formal Languages, Automata and Numeration Systems 2 written by Michel Rigo and published by John Wiley & Sons. This book was released on 2014-09-10 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interplay between words, computability, algebra andarithmetic has now proved its relevance and fruitfulness. Indeed,the cross-fertilization between formal logic and finite automata(such as that initiated by J.R. Büchi) or betweencombinatorics on words and number theory has paved the way torecent dramatic developments, for example, the transcendenceresults for the real numbers having a “simple” binaryexpansion, by B. Adamczewski and Y. Bugeaud. This book is at the heart of this interplay through a unifiedexposition. Objects are considered with a perspective that comesboth from theoretical computer science and mathematics. Theoreticalcomputer science offers here topics such as decision problems andrecognizability issues, whereas mathematics offers concepts such asdiscrete dynamical systems. The main goal is to give a quick access, for students andresearchers in mathematics or computer science, to actual researchtopics at the intersection between automata and formal languagetheory, number theory and combinatorics on words. The second of two volumes on this subject, this book coversregular languages, numeration systems, formal methods applied todecidability issues about infinite words and sets of numbers.

Substitution and Tiling Dynamics: Introduction to Self-inducing Structures

Author : Shigeki Akiyama
Publisher : Springer Nature
ISBN 13 : 3030576663
Total Pages : 456 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Substitution and Tiling Dynamics: Introduction to Self-inducing Structures by : Shigeki Akiyama

Download or read book Substitution and Tiling Dynamics: Introduction to Self-inducing Structures written by Shigeki Akiyama and published by Springer Nature. This book was released on 2020-12-05 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a panorama of recent developments in the theory of tilings and related dynamical systems. It contains an expanded version of courses given in 2017 at the research school associated with the Jean-Morlet chair program. Tilings have been designed, used and studied for centuries in various contexts. This field grew significantly after the discovery of aperiodic self-similar tilings in the 60s, linked to the proof of the undecidability of the Domino problem, and was driven futher by Dan Shechtman's discovery of quasicrystals in 1984. Tiling problems establish a bridge between the mutually influential fields of geometry, dynamical systems, aperiodic order, computer science, number theory, algebra and logic. The main properties of tiling dynamical systems are covered, with expositions on recent results in self-similarity (and its generalizations, fusions rules and S-adic systems), algebraic developments connected to physics, games and undecidability questions, and the spectrum of substitution tilings.

Combinatorics, Automata and Number Theory

Author : Valérie Berthé
Publisher : Cambridge University Press
ISBN 13 : 0521515971
Total Pages : 637 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Combinatorics, Automata and Number Theory by : Valérie Berthé

An Introduction to Formal Languages and Automata

Author : Peter Linz
Publisher : Jones & Bartlett Publishers
ISBN 13 :
Total Pages : 408 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis An Introduction to Formal Languages and Automata by : Peter Linz

Download or read book An Introduction to Formal Languages and Automata written by Peter Linz and published by Jones & Bartlett Publishers. This book was released on 1997 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Formal Languages & Automata provides an excellent presentation of the material that is essential to an introductory theory of computation course. The text was designed to familiarize students with the foundations & principles of computer science & to strengthen the students' ability to carry out formal & rigorous mathematical argument. Employing a problem-solving approach, the text provides students insight into the course material by stressing intuitive motivation & illustration of ideas through straightforward explanations & solid mathematical proofs. By emphasizing learning through problem solving, students learn the material primarily through problem-type illustrative examples that show the motivation behind the concepts, as well as their connection to the theorems & definitions.

Theory Of Automata, Formal Languages And Computation (As Per Uptu Syllabus)

Author : S.P.Eugene Xavier
Publisher : New Age International
ISBN 13 : 8122416551
Total Pages : 35 pages
Book Rating : 4.1/5 (224 download)

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Book Synopsis Theory Of Automata, Formal Languages And Computation (As Per Uptu Syllabus) by : S.P.Eugene Xavier

Download or read book Theory Of Automata, Formal Languages And Computation (As Per Uptu Syllabus) written by S.P.Eugene Xavier and published by New Age International. This book was released on 2005 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Book Is Aimed At Providing An Introduction To The Basic Models Of Computability To The Undergraduate Students. This Book Is Devoted To Finite Automata And Their Properties. Pushdown Automata Provides A Class Of Models And Enables The Analysis Of Context-Free Languages. Turing Machines Have Been Introduced And The Book Discusses Computability And Decidability. A Number Of Problems With Solutions Have Been Provided For Each Chapter. A Lot Of Exercises Have Been Given With Hints/Answers To Most Of These Tutorial Problems.

Combinatorics, Automata and Number Theory

Author : Valérie Berthé
Publisher : Cambridge University Press
ISBN 13 : 1139643185
Total Pages : pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Combinatorics, Automata and Number Theory by : Valérie Berthé

Download or read book Combinatorics, Automata and Number Theory written by Valérie Berthé and published by Cambridge University Press. This book was released on 2010-08-12 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This collaborative volume presents trends arising from the fruitful interaction between the themes of combinatorics on words, automata and formal language theory, and number theory. Presenting several important tools and concepts, the authors also reveal some of the exciting and important relationships that exist between these different fields. Topics include numeration systems, word complexity function, morphic words, Rauzy tilings and substitutive dynamical systems, Bratelli diagrams, frequencies and ergodicity, Diophantine approximation and transcendence, asymptotic properties of digital functions, decidability issues for D0L systems, matrix products and joint spectral radius. Topics are presented in a way that links them to the three main themes, but also extends them to dynamical systems and ergodic theory, fractals, tilings and spectral properties of matrices. Graduate students, research mathematicians and computer scientists working in combinatorics, theory of computation, number theory, symbolic dynamics, fractals, tilings and stringology will find much of interest in this book.

Automata, Formal Languages and Algebraic Systems

Author :
Publisher :
ISBN 13 : 981446435X
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Automata, Formal Languages and Algebraic Systems by :

Download or read book Automata, Formal Languages and Algebraic Systems written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Automata, Formal Languages and Algebraic Systems

Author : Masami Ito
Publisher : World Scientific
ISBN 13 : 9814317608
Total Pages : 247 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Automata, Formal Languages and Algebraic Systems by : Masami Ito

Download or read book Automata, Formal Languages and Algebraic Systems written by Masami Ito and published by World Scientific. This book was released on 2010 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of papers selected from the presentations at the workshop and includes mainly recent developments in the fields of formal languages, automata theory and algebraic systems related to the theoretical computer science and informatics. It covers the areas such as automata and grammars, languages and codes, combinatorics on words, cryptosystems, logics and trees, Grobner bases, minimal clones, zero-divisor graphs, fine convergence of functions, and others.

Introduction to Formal Languages, Automata Theory and Computation

Author : Kamala Krithivasan
Publisher : Pearson Education India
ISBN 13 : 9788131723562
Total Pages : 446 pages
Book Rating : 4.7/5 (235 download)

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Book Synopsis Introduction to Formal Languages, Automata Theory and Computation by : Kamala Krithivasan

Download or read book Introduction to Formal Languages, Automata Theory and Computation written by Kamala Krithivasan and published by Pearson Education India. This book was released on 2009-09 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Formal Languages, Automata Theory and Computation presents the theoretical concepts in a concise and clear manner, with an in-depth coverage of formal grammar and basic automata types. The book also examines the underlying theory and principles of computation and is highly suitable to the undergraduate courses in computer science and information technology. An overview of the recent trends in the field and applications are introduced at the appropriate places to stimulate the interest of active learners.

Introduction to Automata Theory, Languages, and Computation

Author : John E. Hopcroft
Publisher : Pearson
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Introduction to Automata Theory, Languages, and Computation by : John E. Hopcroft

Download or read book Introduction to Automata Theory, Languages, and Computation written by John E. Hopcroft and published by Pearson. This book was released on 2007 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book on formal languages, automata theory, and computational complexity has been updated to present theoretical concepts in a concise and straightforward manner with the increase of hands-on, practical applications. This new edition comes with Gradiance, an online assessment tool developed for computer science. Please note, Gradiance is no longer available with this book, as we no longer support this product.

A Second Course in Formal Languages and Automata Theory

Author : Jeffrey Shallit
Publisher : Cambridge University Press
ISBN 13 : 0521865727
Total Pages : 0 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis A Second Course in Formal Languages and Automata Theory by : Jeffrey Shallit

Download or read book A Second Course in Formal Languages and Automata Theory written by Jeffrey Shallit and published by Cambridge University Press. This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for a graduate course on formal languages and automata theory, building on prior knowledge of theoretical computer models.

An Introduction to Formal Languages and Machine Computation

Author : Song Y Yan
Publisher : World Scientific
ISBN 13 : 9814500836
Total Pages : 420 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis An Introduction to Formal Languages and Machine Computation by : Song Y Yan

Download or read book An Introduction to Formal Languages and Machine Computation written by Song Y Yan and published by World Scientific. This book was released on 1998-06-06 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a concise and modern introduction to Formal Languages and Machine Computation, a group of disparate topics in the theory of computation, which includes formal languages, automata theory, turing machines, computability, complexity, number-theoretic computation, public-key cryptography, and some new models of computation, such as quantum and biological computation. As the theory of computation is a subject based on mathematics, a thorough introduction to a number of relevant mathematical topics, including mathematical logic, set theory, graph theory, modern abstract algebra, and particularly number theory, is given in the first chapter of the book. The book can be used either as a textbook for an undergraduate course, for a first-year graduate course, or as a basic reference in the field. Contents:Computation-Related Mathematics:Logics and ProofsSets, Functions and GraphsDivisibility, Continued Fractions and CongruencesGroups, Rings and FieldsFormal Languages and Automata:Languages, Grammars and AutomataFinite Automata and Regular LanguagesPush-Down Automata and Context-Free LanguagesTuring Machines and Recursively Enumerable LanguagesTuring Computability and Complexity:Computability and NoncomputabilityDecidability and UndecidabilityComputational ComplexityDesign and Analysis of AlgorithmsNumber-Theoretic Computations and Applications:Primality TestingInteger FactorizationDiscrete LogarithmsCryptology and Systems SecurityHigh-Speed ComputationThree More Applications in ComputingNew Models of Computation:Quantum ComputationBiological ComputationComparison of Quantum and DNA Biological ModelsComparison of Connectionist and DNA Biological Models Readership: Students, teachers and researchers in computer science. keywords:Formal Languages;Automata;Computability;Complexity;Models of Computation

An Introduction to Formal Languages and Automata

Author : Peter Linz
Publisher : Jones & Bartlett Learning
ISBN 13 : 9780763737986
Total Pages : 880 pages
Book Rating : 4.7/5 (379 download)

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Book Synopsis An Introduction to Formal Languages and Automata by : Peter Linz

Download or read book An Introduction to Formal Languages and Automata written by Peter Linz and published by Jones & Bartlett Learning. This book was released on 2006 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data Structures & Theory of Computation

Theory Of Formal Languages With Applications

Author : Dan A Simovici
Publisher : World Scientific Publishing Company
ISBN 13 : 9813105356
Total Pages : 643 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Theory Of Formal Languages With Applications by : Dan A Simovici

Download or read book Theory Of Formal Languages With Applications written by Dan A Simovici and published by World Scientific Publishing Company. This book was released on 1999-06-17 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal languages provide the theoretical underpinnings for the study of programming languages as well as the foundations for compiler design. They are important in such areas as the study of biological systems, data transmission and compression, computer networks, etc.This book combines an algebraic approach with algorithmic aspects and decidability results and explores applications both within computer science and in fields where formal languages are finding new applications. It contains more than 600 graded exercises. While some are routine, many of the exercises are in reality supplementary material. Although the book has been designed as a text for graduate and upper-level undergraduate students, the comprehensive coverage of the subject makes it suitable as a reference for scientists. remove remove